Solving basic Trigonometric functions for all values.

Qanday yordam kerak?

jwicken

July 16, 2019 17:24
O’zgartirildi

I've been working on problems with the basic setup: Select one or more expressions that together represent all solutions to the equation. Your answer should be in radians.

For example, Cos(x) = √2/2

The answer(s) are usually given as +/- pi/4 + 2pi*n (n being an integer)

If you give the answer 7pi/4 + 2pi*n this is usually marked as incorrect. Wouldn't this also be a solution to the equation? Why restrict the answers from -pi to pi?

Yangi maqola

1 sharh

Regina Litman

July 16, 2019 18:27
1

Sharhlar bilan harakatlar Doimiy havola
I think that the reason it's marked wrong is that the base number (the one to which the integers are added) is, by convention, expected to be in the range of [-3pi/2, 3pi/2] when looking for the radians for a given Cosine. Your answer that included 7pi/4 is outside of this range, even though it's correct.

When looking for radians for a given Since, the range is [0, pi].

Mqola sharhlar uchun yopiq

Solving basic Trigonometric functions for all values.

Qidirayotgan narsangizni topdingizmi?

1 sharh

Qidirayotgan narsangizni topdingizmi?